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Simplifying 195x2 + 125x + 20 = 0 Reorder the terms: 20 + 125x + 195x2 = 0 Solving 20 + 125x + 195x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(4 + 25x + 39x2) = 0 Factor a trinomial. 5((1 + 3x)(4 + 13x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(4 + 13x)' equal to zero and attempt to solve: Simplifying 4 + 13x = 0 Solving 4 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 13x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = 0 + -4 13x = 0 + -4 Combine like terms: 0 + -4 = -4 13x = -4 Divide each side by '13'. x = -0.3076923077 Simplifying x = -0.3076923077Solution
x = {-0.3333333333, -0.3076923077}
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